Based on Egghe-Rousseau model and Glanzel-Schubert model, a power-law model describing relation between h-index and citations C is deduced. This model is well agreement with the empirical results. The maximum power exponent of this model is 0.5 and Hirsch model is a special form while maximizing power exponent. The key of this model is value or estimation value of Lotka' s exponent. h = Cα/(α2+1) is an approximate and simplified form of this model.%从Egghe-Rousseau模型和Glanzel-Schubert模型出发,推演出h 指数与总被引次数C之间的幂函数关系模型(即h-C幂律关系模型),此模型与之前的实证结果相符.模型中幂指数最大值为0.5.Hirsch模型可视为本模型的幂指数取最大值时的特殊形式.本模型应用的关键是洛特卡系数琢的取值或估计,h = Cα/(α2+1)是一种近似简化形式.
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